La expresión : SecθCscθ−SenθCosθ es igual a ?

La expresión SecθCscθ−SenθCosθ se resuelve de la siguiente forma : <img src="https://tex.z-dn.net/?f=%5Csec%20%5Cleft%28x%5Cright%29%5Ccsc%20%5Cleft%28x%5Cright%29-%5Csin%20%5Cleft%28x%5Cright%29%5Ccos%20%5Cleft%28x%5Cright%29%3D-%5Cfrac%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%7B2%7D%2B2%5Ccsc%20%5Cleft%282x%5Cright%29" /><img src="https://tex.z-dn.net/?f=%5Csec%20%5Cleft%28x%5Cright%29%5Ccsc%20%5Cleft%28x%5Cright%29-%5Csin%20%5Cleft%28x%5Cright%29%5Ccos%20%5Cleft%28x%5Cright%29" />Identidad trigonométrica<img src="https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%28x%5Cright%29%5Csin%20%5Cleft%28x%5Cright%29%3D%5Cfrac%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%7B2%7D" /><img src="https://tex.z-dn.net/?f=%3D-%5Cfrac%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%7B2%7D%2B%5Ccsc%20%5Cleft%28x%5Cright%29%5Csec%20%5Cleft%28x%5Cright%29" />Simplificando el segundo termino : <img src="https://tex.z-dn.net/?f=%5Ccsc%20%5Cleft%28x%5Cright%29%5Csec%20%5Cleft%28x%5Cright%29" /><img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B%5Ccos%20%5Cleft%28x%5Cright%29%7D%5Ccdot%20%5Cfrac%7B1%7D%7B%5Csin%20%5Cleft%28x%5Cright%29%7D%3D%5Cfrac%7B1%7D%7B%5Ccos%20%5Cleft%28x%5Cright%29%5Csin%20%5Cleft%28x%5Cright%29%7D" />usando la siguiente identidad : <img src="https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%28x%5Cright%29%5Csin%20%5Cleft%28x%5Cright%29%3D%5Csin%20%5Cleft%282x%5Cright%29%5Cfrac%7B1%7D%7B2%7D" /> <img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B2%7D%5Csin%20%5Cleft%282x%5Cright%29%7D" /> <img src="https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%7B2%7D%7D%3D%5Cfrac%7B2%7D%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%3D2%5Ccsc%20%5Cleft%282x%5Cright%29" /><img src="https://tex.z-dn.net/?f=%3D-%5Cfrac%7B%5Csin%20%5Cleft%282x%5Cright%29%7D%7B2%7D%2B2%5Ccsc%20%5Cleft%282x%5Cright%29" />Resultado : [img = 10].